What is a Set?

A SET is a group of objects that share similar characteristics or

properties

Example: Clothing

What is a Subset?

OA subset is a smaller group within a set that share a more defined set of characteristics.OExample: Shirts

The Real Number System

Just like many things in life numbers can be

classified into groups.

The numbers we use in middle school math are

all part of the Real Number System.

What is the Real Number System?

O The Real Number System is the SET

O There are 5 subsets of the Real Number System.O IrrationalO RationalO IntegersO WholeO Natural

So, The Real Number Set…

O Includes all of the Numbers we see in 8th grade math.

Then the numbers are organized into

the 5 subsets!

NATURAL NUMBERS

1, 2, 3, 4, 5, …

O“Counting numbers”ONumbers that are greater than zero.

WHOLE NUMBERS

0, 1, 2, 3, 4, 5, …

ONatural Numbers AND Zero

INTEGERS

…, -3, -2, -1, 0, 1, 2, 3, …

OWhole Numbers and their opposites.

OA.K.A. Positive and Negative Numbers.

RATIONAL NUMBERS

OIntegersOFractionsODecimals, they either terminate (end) or repeat.

IRRATIONAL NUMBERS

ONumbers that have non-ending and non-repeating decimals.

OFYI: When taking the square root of any number that is not a perfect square the answer will be irrational.

REAL NUMBERSO Remember, all of these numbers are

part of the set of Real Numbers!

HOW DOES ALL OF THIS FIT TOGETHER?

Now put the following numbers in the graphic organizer